On the denominators of harmonic numbers. IV

Let $\mathcal{L}$ be the set of all positive integers $n$ such that the denominator of $1+1/2+\cdots +1/n$ is less than the least common multiple of $1, 2, \dots , n$. In this paper, under a certain assumption on linear independence, we prove that the set $\mathcal{L}$ has the upper asymptotic densi...

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Bibliographic Details
Main Authors: Wu, Bing-Ling, Yan, Xiao-Hui
Format: Article
Language:English
Published: Académie des sciences 2022-01-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.282/